Finding the Fourth Proportional to 197,641,922,089.55, 272,751,605,916.80 and 112,000,040,192.84
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Solution
The fourth proportional to 197,641,922,089.55, 272,751,605,916.80 and 112,000,040,192.84 is: 154,563,315,830.85
Step by Step Solution
- Step 1: Write the proportion equation
197,641,922,089.55 : 272,751,605,916.80 = 112,000,040,192.84 : x - Step 2: Convert to fraction form
197,641,922,089.55/272,751,605,916.80 = 112,000,040,192.84/x - Step 3: Cross multiply
197,641,922,089.55x = 272,751,605,916.80 × 112,000,040,192.84 - Step 4: Simplify right side
197,641,922,089.55x = 30,548,190,825,343,252,168,704 - Step 5: Solve for x
x = 30,548,190,825,343,252,168,704/197,641,922,089.55 - Step 6: Final answer
x = 154,563,315,830.85
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.